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3 years ago

Could anybody answer this

Mathematics

1 answer:

Alexandra [31]3 years ago

5 0

Try this solution:

1. if to transform the given equation into the standard form:

x²+y²-4x+6y-3=0;

(x²-4x+4)+(y²+6y+9)-16=0;

(x-2)²+(y+3)²=4²

2. Using the standard form it is possible to find the coordinates of the centre of given circle: x=2; y= -3

answer: b) - (2;-3)

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The probability of a tornado occurring in a subdivision in Tornado Alley in the United States has been estimated to be 0.2 for o

hoa [83]

Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

8 0

3 years ago

The picture Will pop up when you click on question

fiasKO [112]

Answer:

see below

Step-by-step explanation:

1. 10/16=5/6

2.14/63=2/9

3.6/14= 3/7

4.6/24= 1/3

5.7/70=1/10

6.5/10=1/2

7. 9/27= 1/3

8.6/72=1/12

9.6/27=1/3

10. 14/35= 2/5

11.12/24= 1/2

12.5/40=1/8

13.36/40=9/10

14.28/35=4/5

8 0

3 years ago

Last year, Ravi opened an investment account with $5400 . At the end of the year, the amount in the account had decreased by 24.

Nastasia [14]

1-(24.5/100)=0.755 which will be our multiplier
5400 x 0.755 = $4077 left in his account
5400-4077=$1323 decrease

3 0

2 years ago

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

$60\:\times 2^{-2}$

$=60\times \frac{1}{2^2}$ ∵ $a^{-b}=\frac{1}{a^b}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{1\times \:60}{2^2}$

$=\frac{60}{2^2}$

$=\frac{2^2\times \:3\times \:5}{2^2}$

$=3\times \:5$

$=15$ gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

6 0

2 years ago

A crate containing four identical cartridges weighs 5 kilograms (kg). If the weight of the crate is 600 grams (g), what is the w

mel-nik [20]

Answer: 1100 grams

Step-by-step explanation:

5kg=5000g

5000g-600g=4400g

4400g/4=1100g

8 0

3 years ago